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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 144 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is the additive inverse of 1/6? (a) 1/6 (b) −1/6 (c) 6 (d) −6
  2. 2.Which is bigger: −5/6 or −5/7? (a) −5/7 (b) −5/6
  3. 3.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  4. 4.What is (−5/9) − (−1/5)? (a) −16/45 (b) 16/45 (c) −2/7 (d) −34/45
  5. 5.What is (−1/6) − (−2/7)? (a) 5/42 (b) −5/42 (c) −19/42 (d) 1/13
  6. 6.What is (−2/9) − (−4/9)? (a) 1/9 (b) −2/9 (c) −2/3 (d) 2/9
  7. 7.Is 4/8 positive or negative? (a) Negative (b) Positive
  8. 8.Write −12/15 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −12/15 (d) −4/5
  9. 9.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) −3/2 (c) 3/2 (d) 2/3
  10. 10.Is 7/5 positive or negative? (a) Positive (b) Negative
  11. 11.What is 7/8 − (−5/6)? (a) 41/24 (b) 6/7 (c) −41/24 (d) 1/24
  12. 12.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −25/35
  13. 13.What is 1/3 + (−6/7)? (a) 11/21 (b) −11/21 (c) 25/21 (d) −1/2
  14. 14.What is (−5/6) + 8/9? (a) −1/18 (b) 1/18 (c) 1/5 (d) −31/18
  15. 15.What is 7/9 + (−1/7)? (a) −40/63 (b) 58/63 (c) 40/63 (d) 3/8
  16. 16.What is 4/7 + (−4/9)? (a) −8/63 (b) 8/63 (c) 64/63 (d) 0
  17. 17.Which is bigger: −6/7 or −1/9? (a) −1/9 (b) −6/7
  18. 18.What is 5/8 − (−1/4)? (a) 3/8 (b) 7/8 (c) 1/2 (d) −7/8
  19. 19.Which is bigger: −5/8 or −1/2? (a) −1/2 (b) −5/8
  20. 20.Write −4/36 in standard form (lowest terms, positive denominator). (a) −4/36 (b) 1/9 (c) −9/1 (d) −1/9
  21. 21.Which is smaller: −4/7 or 1/8? (a) −4/7 (b) 1/8
  22. 22.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) 4/5 (c) −5/4 (d) −4/5
  23. 23.Is −5/(−4) positive or negative? (a) Negative (b) Positive
  24. 24.What is (−1/8) + (−1/4)? (a) 3/8 (b) −3/8 (c) 1/8 (d) −1/6
  25. 25.What is (−5/8) − 3/8? (a) −1/4 (b) 1 (c) −1 (d) −1/2
  26. 26.What is (−3/7) + (−1/3)? (a) −2/5 (b) −16/21 (c) 16/21 (d) −2/21
  27. 27.What is (−1/5) − (−3/4)? (a) 2/9 (b) −11/20 (c) 11/20 (d) −19/20
  28. 28.What is (−2/5) − (−1/4)? (a) 3/20 (b) −3/20 (c) −1/9 (d) −13/20
  29. 29.Is −4/2 positive or negative? (a) Negative (b) Positive
  30. 30.What is (−1/9) + 3/5? (a) 1/7 (b) 22/45 (c) −22/45 (d) −32/45
  31. 31.Is 2/(−9) positive or negative? (a) Negative (b) Positive
  32. 32.What is the additive inverse of −2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  33. 33.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −6/18 (c) 1/3 (d) −3/1
  34. 34.Which is smaller: −1/4 or −5/8? (a) −5/8 (b) −1/4
  35. 35.Which is bigger: −2/5 or 7/8? (a) 7/8 (b) −2/5
  36. 36.What is the additive inverse of 7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  37. 37.Write −4/12 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −4/12 (d) −3/1
  38. 38.Which is bigger: −1/3 or 2/7? (a) −1/3 (b) 2/7
  39. 39.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −20/35 (b) −7/4 (c) 4/7 (d) −4/7
  40. 40.Which is smaller: −6/7 or 2/9? (a) 2/9 (b) −6/7

Answer key

  1. −1/6
  2. −5/7
  3. −5/2
  4. −16/45
  5. 5/42
  6. 2/9
  7. Positive
  8. −4/5
  9. −3/2
  10. Positive
  11. 41/24
  12. −5/7
  13. −11/21
  14. 1/18
  15. 40/63
  16. 8/63
  17. −1/9
  18. 7/8
  19. −1/2
  20. −1/9
  21. −4/7
  22. −4/5
  23. Positive
  24. −3/8
  25. −1
  26. −16/21
  27. 11/20
  28. −3/20
  29. Negative
  30. 22/45
  31. Negative
  32. 2/5
  33. −1/3
  34. −5/8
  35. 7/8
  36. −7/8
  37. −1/3
  38. 2/7
  39. −4/7
  40. −6/7

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